MrMind comments on Open thread, 14-20 July 2014 - Less Wrong
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You're welcome!
Foundation(s) of math is a huge and fascinating topic by itself, but if you're more interested in the intricacy of abstraction hierarchies you should look no further than category theory, the Yoneda lemma, up up to doctrine theory. I love as a good introduction Category Theory by Awodey. As for the foundation of math, very good for dipping your toes are the first chapters of Marker's introduction to model theory and the recently reprinted Set theory by Kunen (set theory models are a vast subject by themselves...)